1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
8

PLZ HELP! A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a tr

ip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?
Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

3.8

Step-by-step explanation:

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains.

If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Let d = distance traveled at 37.5 (thru the mountains)

then

(300-d) = distance traveled at 90 mph

Write a time equation, time = dist/speed

change 3 hr 48 min to hrs: 3 + 48/60 = 3.8 hrs

plain time + mountain time = 3.8 hrs

%28300-d%29%2F90 + d%2F37.5 = 3.8

Multiply 90*37.5

3375*%28300-d%29%2F90 + 3375*d%2F37.5 = 3.8(3375)

cancel the denominator

37.5(300-d) + 90d = 12825

11250 - 37.5d + 90d = 12825

52.5d = 1575

d = 1575/52.5

d = 30 mi thru the mountains

Check this, find the distance on the plain

300-30 = 270 mi

Find the actual time at each speed

270/90 = 3 hrs

30/37.5 = .8 hrs

-----------------

total time: 3.8 hrs

You might be interested in
What is the decimal equivalent of 8%
Agata [3.3K]
I believe it would be 0.08
4 0
3 years ago
You have 60.00 in your wallet and you want to buy some new cds. if the cd's are 11.00 each, what number of cd's x can you buy?wr
Dvinal [7]
You have $60.00.
Each CD (x) is $11.00.

11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60. 
x ≤ 5.45

You can only buy 5 CDs.
3 0
3 years ago
Which equation is true if x = 9? A:3/8 x = 3 3/8 B: 8.7 + x = 17 X: 5x = 40 x:11.5 = 20
Furkat [3]

Answer:

the answer might be A meaning Sis TV correct one

6 0
2 years ago
Which answer explains the correct way to move the decimal to find the quotient of 23.8 × 100?
natima [27]
The correct way to move the decimal to find the quotient is b. two places to the right.

This is because 100 has two zeroes in it, so you know that you have to move the decimal either two places to the right or two places to the left.  

100 is a positive number, and when multiplied by a positive number with a decimal, it makes an even larger number.  So, you would move 23.8 decimal place two places to the right.
6 0
3 years ago
The sum of x and 8 is less than 72​
Vanyuwa [196]

Answer:

x<84

Step-by-step explanation:

First, write an inequality. We know it is not an equation because of the words "less than". Also, x and 8 are being added because of the word "and". Here's the inequality: x+8 < 72. Now, subtract 8 on both sides so x is isolated. Our simplified inequality looks like this: x < 84.

4 0
3 years ago
Other questions:
  • Please helpp asap❤❤ <br>Would appreciate it
    5·1 answer
  • Property of Circles: Segment Relationships in Circles<br>​
    6·2 answers
  • What do the numbers represent in a linear equation in slope-intercept<br>form? ​
    15·1 answer
  • Find the equations of any horizontal tangents to the curve <br> y = x^3 - 3x ^2 - 9x + 2
    9·1 answer
  • Help me withw one and two
    11·1 answer
  • The function is given by the formula f(x)=3x+2.
    12·1 answer
  • The base of a jewelry box is covered with 120 square tiles that are 1 cm on each side. If the volume of the box is 600 centimete
    8·2 answers
  • Simplify 7(A-6)<br> A-6<br> 7A-42<br> 7A-6
    6·1 answer
  • Multiply the following <br> Provide product in standard form :)
    9·2 answers
  • Somebody please help me:(
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!